Your time is precious, so use these shortcuts to show that two triangles are congruent. Try them out with compass and straightedge constructions.
Geometry 5(A) investigate patterns to make conjectures about geometric relationships, including angles formed by parallel lines cut by a transversal, criteria required for triangle congruence, special segments of triangles, diagonals of quadrilaterals, interior and exterior angles of polygons, and special segments and angles of circles choosing from a variety of tools
Geometry 5(C) use the constructions of congruent segments, congruent angles, angle bisectors, and perpendicular bisectors to make conjectures about geometric relationships
Geometry 6(B) prove two triangles are congruent by applying the Side-Angle-Side, Angle-Side-Angle,Side-Side-Side, Angle-Angle-Side, and Hypotenuse-Leg congruence conditions
Geometry 6(C) apply the definition of congruence, in terms of rigid transformations, to identify congruent figures and their corresponding sides and angles